Geodesic
The nonlinear diffusion–convection equation on the semiline with time-dependent flux at the origin
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 211-219 
F. Calogero; S. De Lillo. The nonlinear diffusion–convection equation on the semiline with time-dependent flux at the origin. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 211-219. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a5/
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     title = {The nonlinear diffusion{\textendash}convection equation on the semiline with time-dependent flux at the origin},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The nonlinear diffusion–convection equation is considered as a pheno-menological model of two-phase flow in a semi-infinite porous medium. For such model the initial/boundary value problem is solved with a general initial datum and a boundary condition at the origin representing a time-dependent flux. The problem is reduced to a linear integral equation of Volterra type in one dependent variable; in some cases of applicative interest this eqution can be solved by quadratures.

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